3. Use Heaviside's method to find the inverse Laplace transform. 3-(s+1)(s-2) а. (s+1)(s+2)(s–2)

Q: 3. Find thei z transform of thể fallowing Signals. di x(k)=() ü (k-1)

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Q: Solve for the following to find the inverse laplace transform.

A: Introduction: Laplace transformation in of the most important integral transformations that…

Q: 15張+ (7) 2 = 花

A: We have to find out the inverse Laplace transformation.

Q: 3. Find the inverse Laplace transform of the following. (a) F(s) s2 + 3s – 4

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Q: Laplace transform of t² sin2t. [12s²-16] [2323 .(s²+4)². 35²-4 [(s²+4)³. [12s²-16 .(s²+4)6 O [12…

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Q: Find the Laplace Transform of h(t) = 1²e-3t (s – 3)3 4 (s+ 3) (s+3)2 2. 2.

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Q: Using the inverse Laplace transform, we have s+ 14 C-1 s(s+ 2) where Select one: O f(t) = 7-6e-21…

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Q: Find the inverse Laplace transform of each of the following: s+1 (a) Y(s) = s2 +5s+4 1 (b) Y(s) = -…

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Q: 6s 3 F(s) =+ 25 +25

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Q: Find the inverse Laplace transform of the following functions = 10-11 8s²-4s+32 s(s²+4) $2 [Hint:…

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Q: 1. Find the given inverse transform s+1 (a) L-1 s² - 4s (b) L- ~~-²¹ {| 2s - 4 (s² + s) (s² + 1) 2…

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Q: The Laplace transform of f(t) = e38(t - 1) +te-3t is:

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Q: Q.2 The Laplace Transform a{4e“ – 12cos 2t} is: 4 12s 6s (A) s-6 s' +4 (B) s-6 s+4 4 (C) s-6 s +4…

A: The correct answer is option A. The linearity property of Laplace transform is used here…

Q: 2. Determine H(s) = the Inverse Laplace Transform of 13s² + 46s + 133 (s + 1)² (s² + 6s +25)

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Q: (9s – 33) e Find the inverse Laplace transform of F(s) = s2 – 8s + 20 f(t) =

A: Inverse transform rule is,  if L-1Fs=ft then L-1e-asFs=Ht-aft-a, where H(t) Heaviside step function.

Q: G(s) = 6s+16 s²+2s+5

A: I have given the answer in the next step. Hope you understand that

Q: 4. Determine the inverse L a) F(s) = 4 (s− 3)² +9

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Q: s2 + 9s + 2 (s – 1)2(s + 3) A. f(t) = et +3tet – 2e-3t C.f(t) = 2e + 3te – e-3t B. f(t) = et + 2tet…

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Q: Determine the Inverse Laplace Transform of 13s² + 46s + 133 H(s) = (s + 1)² (s² + 6s+25)

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Q: 9S +14 6. L'. (S – 2)(S² +4)

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Q: Evaluate the line integral H. dř; Ħ = e" ì + [æe" + In(z)] ĵ +2² k, and C is the path defined by 7…

A: Given H→=eyi^+xey+lnzj^+2yzk^ We know that dr→=dxi^+dyj^+dzk^…

Q: aplace transform of –

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Q: 5s + 7 (s + 2)2 A. f(t) = e-2" (5 + 7t) C. f(t) = e-2" (5 – 7t) B. f(t) = e-2"(5 + 3t) D. f(t) =…

A: Use partial fractions and Laplace table.

Q: Find the Inverse Laplace Transform. 4s+16 F (s) = 4s2+4s+1 O ei (플) O et (플+ 1) 2 (t+1) e 2

A: We have to find the Inverse Laplace Transform of Fs=4s+164s2+4s+1

Q: =form of the following: 11z? – 15z + 6 - G(z) %3D (z – 2)(z - 1)2

A: Inverse z transform

Q: if t 5. t-5 ● i +7x = 4t, x(0) = 5 • ï + 14x + 58x = 174, x(0) = (0) = 0

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Q: f(t) = 5e"t – 5e¯al -at

A: The solution for the above question is as shown below.

Q: find the Laplace Transform.  1. (t-1)4 2. e-2t-5

A: Use Basic Formulae in Laplace Transform to find result by following way.

Q: Find the Laplace transform of g(t) = 4cos(4t) - 9sin(42) + 2cos(10t) 9 A G(s) = s?+4 s²+16 s?+ 100…

A: To find Laplace transformation of  g(t) = 4cos(4t) - 9 sin(4t)+ 2cos(10t)

Q: 4) Determine the inverse hup lace frons form of 5²Y(s) - 10s + 3 [s Y(s)-10] + 2 Y(s) = 24 S

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